Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]
, 2007 A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
V. Daniele +3 more
core +1 more source
Fredholm and Volterra nonlinear possibilistic integral equations [PDF]
, 2021 In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
IANCU, Ionuț T., GAL, Sorin G.
core +2 more sources
АППРОКСИМАЦИОННОЕ РЕШЕНИЕ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ФРЕДГОЛЬМА И ВОЛЬТЕРРА ВТОРОГО РОДА МЕТОДОМ S-ПРЕОБРАЗОВАНИЙ [PDF]
, 2010 Аппроксимационно-операционный подход применен к решению интегральных уравнений Фредгольма и Вольтерра второго рода. Показано, что аппроксимация ядер интегральных уравнений как сигналов, зависящих от двух аргументов, обобщенными полиномами на основе ...
Симак, Лилия Алексеевна +2 more
core +1 more source
Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj +1 more source
Localization and separation of solutions for Fredholm integral equations [PDF]
, 2020 [EN] In this paper, we establish a qualitative study of nonlinear Fredholm integral equations, where we will carry out a study on the localization and separation of solutions. Moreover, we consider an efficient algorithm to approximate a solution.
Hernández-Verón, Miguel Angel +5 more
core +1 more source
An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
doaj +1 more source
Complexity, 2021 This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad +2 more
doaj +1 more source
Fredholm‐Volterra integral equation with potential kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), , z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to
M. A. Abdou, Alaa A. El-Bary
openaire +4 more sources
Condition numbers in numerical methods for Fredholm integral equations of the second kind [PDF]
, 2002 The authors study the conditioning of linear systems arising from the numerical solution of Fredholm integral equations of the second kind.
C. Laurita +3 more
core +1 more source
A Newton-like iterative process for the numerical solution of Fredholm nonlinear integral equations. [PDF]
, 2005 In this paper, we give a semi-local convergence result for an iterative process of Newton-Kantorovich-type to solve nonlinear integral equations of Fredholm type and second kind.
Salanova, M.A. +1 more
core +1 more source